Question

If p + q = 8 and pq = 6 , find the value of 2 + 2

Answer 1

Correct Question:

• If p + q = 8 and pq = 6, find the value of p² + q²

Solution:

Given That:

→ p + q = 8 — (i)

→ pq = 6 — (ii)

Squaring both sides of equation (i), we get:

→ (p + q)² = 8²

Using identity (a + b)² = a² + 2ab + b², we get:

→ p² + 2pq + q² = 64

Substituting the value of pq in equation, we get:

→ p² + q² + 12 = 64

→ p² + q² = 52

★ Therefore, the value of p² + q² is 52.

To Know More:

Algebraic Identities.

• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
• a² - b² = (a + b)(a - b)
• (a + b)³ = a³ + 3ab(a + b) + b³
• (a - b)³ = a³ - 3ab(a - b) - b³
• a³ + b³ = (a + b)(a² - ab + b²)
• a³ - b³ = (a - b)(a² + ab + b²)
• (x + a)(x + b) = x² + (a + b)x + ab
• (x + a)(x - b) = x² + (a - b)x - ab
• (x - a)(x + b) = x² - (a - b)x - ab
• (x - a)(x - b) = x² - (a + b)x + ab
• (a + b + c)² = a² + b² + c² + 2(ab + bc + ac)

Answer 2

if p+q=8 pq=6

the value of 2+2=4

all we should add

8+6+4 =20